| MSC: | 93D15 |
Abstract:
In this paper we study criteria of chaos for discrete dynamical systems
governed by noninvertible maps and apply them to the anti-control of chaos.
We get some criteria of chaos for discrete dynamical systems governed
by noninvertible maps using the subshift in the space of one-side symbolic
sequences, and discuss the structural stability of chaotic invariant subsets on
a Riemann manifold, and generic chaos. And using these criteria of chaos, we
get more generalized conditions to design a controller for the anti-control of
chaos.